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Finding the Third Proportional to 3,195,207 and 6,902,172

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Solution

The third proportional to 3,195,207 and 6,902,172 is: 14,909,825.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,195,207 : 6,902,172 = 6,902,172 : x
  2. Step 2: Convert to fraction form
    3,195,207/6,902,172 = 6,902,172/x
  3. Step 3: Cross multiply
    3,195,207x = 6,902,172 × 6,902,172
  4. Step 4: Simplify right side
    3,195,207x = 47,639,978,317,584
  5. Step 5: Solve for x
    x = 47,639,978,317,584/3,195,207
  6. Step 6: Final answer
    x = 14,909,825.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.